A Model for the André-Quillen Cohomology of an (∞,1)-Category

2024/05/21 by Blanc, David, Paoli, Simona
#18B40 #18G50 #55S45 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.12674

Abstract

We describe a comonad on n-track categories, for each n≥ 0 yielding an explicit cosimplicial abelian group model for the André-Quillen cohomology of an (∞,1)-category.

Related

• Comonad Cohomology of Track Categories
• Global model categories and topological André-Quillen cohomology
• Quillen cohomology of (∞,2)-categories
• A Quillen model category structure on some categories of comonoids
• Model ∞-categories II: Quillen adjunctions